The book is intended as a companion to a one-semester introductory lecture course on measure and integration. After an introduction to abstract measure theory, it proceeds to the construction of the Lebesgue measure and of Borel measures on locally compact Hausdorff spaces, Lp spaces and their dual
Measure and integration
β Scribed by Berberian, Sterling K.
- Publisher
- Macmillan
- Year
- 1965
- Tongue
- English
- Leaves
- 334
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Measures --
Measurable functions --
Sequences of measurable functions --
Integrable functions --
Convergence theorems --
Product measures --
Finite signed measures --
Integration over locally compact spaces --
Integration over locally compact groups.
β¦ Subjects
Measure theory Integrals Generalized InteΜgration de fonctions Mesure TheΜorie la
π SIMILAR VOLUMES
<p>This book covers the material of a one year course in real analysis.Β It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom.Β Each chapter contains numerous examples and an extensive problem set which expands considerably
<p><p>This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introd
<p>This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.<br>Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and L